NEW SOLITON SOLUTIONS OF NONLINEAR SPACE-TIME FRACTIONAL (2+1)- DIMENSIONAL ABLOW KAUP-NEWELL_SEGUR (AKNS) EQUATION BY STANDARD AND IMPROVED (G'/G) -EXPANSION METHOD

Q3 Engineering

Journal of Mechanical Engineering Research and Developments Pub Date : 2019-08-29 DOI:10.26480/jmerd.05.2019.132.137

A. Mustafa, Wafaa M. Taha, A. Seadawy

引用次数: 0

Abstract

In this essay, we offer the standard and improved expansion method to seek right solutions of nonlinear fractional differential equation (2+1)-dimensional Ablow Kaup-Newell_Segur (AKNS) with the fractional complex transform. The fractional derivative is defined in the sense of modified Riemann-Liouville derivative. The solutions of this equation are acquired through of the hyperbolic, trigonometrical and rational functions. It has been shown the expansion method award several novel results which are effectual and easy to calculate by the assist of a symbolic computation system.

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用标准和改进的(g′/ g)展开法求解非线性时空分数(2+1)维ablow kup - newell_segur (akns)方程的新孤子解

本文给出了用分数阶复变换求非线性分数阶微分方程(2+1)维Ablow kap - newell_segur (AKNS)的正确解的标准和改进的展开方法。分数阶导数是在修正黎曼-刘维尔导数意义上定义的。通过双曲函数、三角函数和有理函数的变换，得到了方程的解。结果表明，在符号计算系统的辅助下，展开式方法获得了一些新颖的结果，既有效又易于计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mechanical Engineering Research and Developments Engineering-Computational Mechanics

自引率

0.00%

发文量

审稿时长

9 weeks

期刊介绍： The scopes of the journal include, but are not limited to, the following topics: • Thermal Engineering and Fluids Engineering • Mechanics • Kinematics, Dynamics, & Control of Mechanical Systems • Mechatronics, Robotics and Automation • Design, Manufacturing, & Product Development • Human and Machine Haptics Specific topics of interest include: Advanced Manufacturing Technology, Analysis and Decision of Industry & Manufacturing System, Applied Mechanics, Biomechanics, CAD/CAM Integration Technology, Complex Curve Design, Manufacturing & Application, Computational Mechanics, Computer-aided Geometric Design & Simulation, Fluid Dynamics, Fluid Mechanics, General mechanics, Geomechanics, Industrial Application of CAD, Machinery and Machine Design, Machine Vision and Learning, Material Science and Processing, Mechanical Power Engineering, Mechatronics and Robotics, Artificial Intelligence, PC Guided Design and Manufacture, Precision Manufacturing & Measurement, Precision Mechanics, Production Technology, Quality & Reliability Engineering, Renewable Energy Technologies, Science and Engineering Computing, Solid Mechanics, Structural Dynamics, System Dynamics and Simulation, Systems Science and Systems Engineering, Vehicle Dynamic Performance Simulation, Virtual-tech Based System & Process-simulation, etc.